Question

50 POINTS!!!

Which ordered pair represents a point that is a solution of the equation y = −1/2x and therefore, lies on the graph of this function

Answer 1

(-2,0)

Explanation:

When x = 0,

y = -1/2 * 0

y = 0

When y = 0,

0 = -1/2 * x

0 = -1*x/2

0 = -x/2

-x = 2

Divide both sides by the cofficient of x, -1

-x/-1 = 2/-1

x = -2

Therefore, the ordered pair is (-2,0)

Answer 2

Explanation:

Step 1: Determine an ordered pair

A solution of an equation just means that the point lies on the line. We can find any y-value when we plug in a specific x-value. For example, if we want to know what ordered pair lies at x=1, we just plug in y = -1/2(1) and solve for y which gives us -1/2. This gives us an ordered pair of (1, -1/2). We can continue to do this for any x value.

We can also reverse the order and plug in the y-value and get the x-value in order to accomplish the same goal but it's a bit harder.

Hope this helps!